On the similarity solution of the fragmentation equation

Journal of Physics A: Mathematical and General

Volumn 30, Issue 7, 1997, Pages 2519-2543

  Treat, Richard P ^a  

^a WEST VIRGINIA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031557525     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/30/7/030     Document Type: Article

References (31)

1. Fillipov A F 1961 Theor. Prob. Appl. (Engl. Transl.) 4 275
2. McGrady E D and Ziff RM 1987 Phys. Rev. Lett. 9 892
3. Edwards B F, Cai M and Han HA 1990 Phys. Rev. A 41 5755
4. Cai M, Edwards B F and Han H 1991 Phys. Rev. A 43 656
5. Huang J, Edwards B F and Levine A D 1991 J. Phys. A: Math. Gen. 24 3967
6. Ernst M H and Szamel 1993 J. Phys. A: Math. Gen. 26 6085
7. Said E A and El-Wakil SA 1994 J. Phys. A: Math. Gen. 27 185
8. Ziff R M and McGrady E D 1985 J. Phys. A: Math. Gen. 18 3027
9. Ziff R M and McGrady ED 1986 Macromol. J. Phys. A 19 2513
10. Peterson TW 1986 Aerosol Sci. Tech. 5 93
11. Cheng Z and Redner S 1988 Phys. Rev. Lett. 60 2450
12. Cheng Z and Redner S 1990 J. Phys. A: Math. Gen. 23 1923
13. Ziff R M 1991 J. Phys. A: Math. Gen. 24 2821
14. Baumann G, Freyberger M, Glockle W G and Nonnenmacher W G 1991 J. Phys. A: Math. Gen 24 5085
15. Bak T A and Bak K 1959 Acta Chem. Scand. 13 1997
16. Smoluchowski M V 1917 Z. Phys Chem. 92 129 Smoluchowski MV 1917 Z Phys Chem. 92 155
17. Smoluchowski M V 1917 Z. Phys Chem. 92 129 Smoluchowski MV 1917 Z Phys Chem. 92 155
18. Swift D L and Friedlander S K 1964 J. Colloid Sci. 19 621
19. Friedlander S K and Wang CS 1966 J. Colloid Interface Sci. 62 406
20. Lai F S, Friedlander S K, Pich J and Hidy G M 1964 J. Colloid Sci. 19 621
21. Mulholland G W and Baum H R 1977 J. Colloid Interface Sci. 62 406
22. Friedlander S K 1977 Smoke Dust and Haze Fundamentals of Aerosol Research (New York: Wiley)
23. Reichl L E 1980 A Modern Course in Statistical Physics (Austin: University of Texas Press)
24. Lushnikov A A 1973 J. Colloid Interface Sci. 45 549
25. Bluman G W and Cole J D 1974 Similarity Methods for Differential Equations (New York: Springer)
26. Ford L R 1955 Differential Equations (New York: McGraw-Hill)
27. Luke L L 1969 The Special Functions and Their Approximations vol 1 (New York: Academic)
28. Meijer CS 1941 Nederl. Akad. Wetensch. Proc. Ser. A 44 81-92
29. Slater L J 1960 Confluent Hypergeometric Functions (Cambridge: Cambridge University Press)
30. Huang J, Guo X, Edwards B F and Levine A D 1996 J. Phys. A: Math. Gen. 29 7377
31. Redner S 1990 Statistical Models for the Fracture of Disordered Media ch 10, ed H J Hermann and S Roux (Amsterdam: North-Holland)